Relative Auslander–Reiten sequences
for quasi-hereditary algebras
Colloquium Mathematicum, Tome 91 (2002) no. 1, pp. 123-142
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $A$ be a finite-dimensional algebra which is quasi-hereditary with respect to the poset $({\mit \Lambda }, \leq )$, with standard modules $\Delta (\lambda )$ for $\lambda \in {\mit\Lambda }$. Let ${\cal F}(\Delta )$ be the category of $A$-modules which have filtrations where the quotients are standard modules. We determine some inductive results on the relative Auslander–Reiten quiver of ${\cal F}(\Delta )$.
Keywords:
finite dimensional algebra which quasi hereditary respect poset mit lambda leq standard modules delta lambda lambda mit lambda cal delta category a modules which have filtrations where quotients standard modules determine inductive results relative auslander reiten quiver cal delta
Affiliations des auteurs :
Karin Erdmann 1 ; José Antonio de la Peña 2 ; Corina Sáenz 3
@article{10_4064_cm91_1_9,
author = {Karin Erdmann and Jos\'e Antonio de la Pe\~na and Corina S\'aenz},
title = {Relative {Auslander{\textendash}Reiten} sequences
for quasi-hereditary algebras},
journal = {Colloquium Mathematicum},
pages = {123--142},
publisher = {mathdoc},
volume = {91},
number = {1},
year = {2002},
doi = {10.4064/cm91-1-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm91-1-9/}
}
TY - JOUR AU - Karin Erdmann AU - José Antonio de la Peña AU - Corina Sáenz TI - Relative Auslander–Reiten sequences for quasi-hereditary algebras JO - Colloquium Mathematicum PY - 2002 SP - 123 EP - 142 VL - 91 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm91-1-9/ DO - 10.4064/cm91-1-9 LA - en ID - 10_4064_cm91_1_9 ER -
%0 Journal Article %A Karin Erdmann %A José Antonio de la Peña %A Corina Sáenz %T Relative Auslander–Reiten sequences for quasi-hereditary algebras %J Colloquium Mathematicum %D 2002 %P 123-142 %V 91 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm91-1-9/ %R 10.4064/cm91-1-9 %G en %F 10_4064_cm91_1_9
Karin Erdmann; José Antonio de la Peña; Corina Sáenz. Relative Auslander–Reiten sequences for quasi-hereditary algebras. Colloquium Mathematicum, Tome 91 (2002) no. 1, pp. 123-142. doi: 10.4064/cm91-1-9
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